Evaluate the following d x 2 a x-x^ 2
Mathematics · JEE Main · NTA Exams — Integral Calculus
Evaluate the following \(\int \frac{d x}{\sqrt{2 a x-x^{2}}}\)
- \(\sin ^{-1}\left(\frac{a-x}{a}\right)+c\)
- \(\frac{1}{2} \sin ^{-1}\left(\frac{x-a}{a}\right)+c\)
- \(\sin ^{-1}\left(\frac{x-a}{a}\right)+c\)
- \(2 \sin ^{-1}\left(\frac{x-a}{a}\right)+c\)
Answer
(C) ^ -1 ( x-a a )+c
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f(y)=e^ y . g(y)=y: y>0 F(t)= _ 0 ^ t f(t-y) g(y) d y , then
- The value of the integral _ 0 ^ x ( ^ 4 x ^ 4 x ) d x is
- The area enclosed between the curves y 2 = x and y = |x| is
- The integral _ -1 / 2 ^ 1 / 2 ([x]+ ( 1+x 1-x ) ) d x equals
- The value of _ 0 ^ [x] (x-[x]) d x is, where [ ∙ ] is the greatest integer function.
- _ 0 ^ / 4 x x ^ 3 x d x equal to
- If f(x) d x= (x) , then x^ 5 f (x^ 3 ) d x is equal to
- The value of _ 0 ^ 2 z^ x z^ x +z^ x d x is,
More Integral Calculus questions · Browse all practice questions